A coupled electromechanical model for the excitation-dependent contraction of skeletal muscle

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 4, Issue 7, 2011, Pages 1299-1310

  Böl, Markus ^a   Weikert, Roman ^a   Weichert, Christine ^a  

^a TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

Action potential; Biceps brachii muscle; Electromechanical coupling; Muscle contraction; Skeletal muscle; Skeletal muscle activation

Indexed keywords

ACTION POTENTIALS; BICEPS BRACHII MUSCLE; MUSCLE CONTRACTION; SKELETAL MUSCLE; SKELETAL MUSCLE ACTIVATION;

ELECTROMECHANICAL COUPLING; THREE DIMENSIONAL;

MUSCLE;

ACTION POTENTIAL; ARTICLE; BICEPS BRACHII MUSCLE; ELECTRIC CURRENT; EXCITATION CONTRACTION COUPLING; GEOMETRY; HUMAN; KINEMATICS; MATHEMATICAL MODEL; MUSCLE CONTRACTION; MUSCLE EXCITATION; MUSCLE TISSUE; PRIORITY JOURNAL; SKELETAL MUSCLE;

ACTION POTENTIALS; BIOMECHANICS; ELECTRIC CONDUCTIVITY; ELECTRIC STIMULATION; EXCITATION CONTRACTION COUPLING; FINITE ELEMENT ANALYSIS; HUMANS; MECHANICAL PROCESSES; MODELS, BIOLOGICAL; MUSCLE, SKELETAL;

EID: 79960565244     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2011.04.017     Document Type: Article

References (51)

1. Aquilonius S.M., Askmark H., Gillberg P.G., Nandedkar S., Olsson Y., Stalberg E. Topographical localization of motor endplates in cryosections of whole human muscles. Muscle & Nerve 1984, 7:287-293.
2. Ashley C.C., Mulligan I.P., Lea T.J. Ca2+ and activation mechanisms in skeletal muscle. Quarterly Reviews of Biophysics 1991, 24:1-73.
3. Baylor S.M. Calcium sparks in skeletal muscle fibers. Cell Calcium 2005, 37:513-530.
4. Baylor S.M., Hollingworth S. Model of sarcomeric Ca2+ movements, including atp Ca2+ binding and diffusion, during activation of frog skeletal muscle. The Journal of General Physiology 1998, 112:297-316.
5. Baylor S.M., Hollingworth S. Simulation of Ca2+ movements within the sarcomere of fast-twitch mouse fibers stimulated by action potentials. The Journal of General Physiology 2007, 130:283-302.
6. Baylor S.M., Hollingworth S., Chandler W.K. Comparison of simulated and measured calcium sparks in intact skeletal muscle fibers of the frog. The Journal of General Physiology 2002, 120:349-368.
7. Bilbrey G.L., Herbin L., Carter N.W., Knochel J.P. Skeletal muscle resting membrane potential in potassium deficiency. The Journal of Clinical Investigation 1973, 52:3011-3018.
8. Böl M. On a phenomenological model for fatigue effects in skeletal muscles. Journal of Theoretical Biology 2010, 10.1016/j.jtbi.2010.03.004.
9. Böl M., Reese S. Micromechanical modelling of skeletal muscles based on the finite element method. Computer Methods in Biomechanics and Biomedical Engineering 2008, 11:489-504.
10. Böl M., Reese S., Parker K.K., Kuhl E. Computational modeling of muscular thin films for cardiac repair. Computational Mechanics 2009, 43:535-544.
11. Böl M., Sturmat M., Weichert C., Kober C. A new approach for the validation of skeletal muscle modelling using MRI data. Computational Mechanics 2011, 47:591-601.
12. Bugrim A.E., Zhabotinsky A.M., Epstein I.R. Calcium waves in a model with a random spatially discrete distribution of Ca2+ release sites. Biophysical Journal 1997, 73:2897-2906.
13. Cannell M.B., Allen D.G. Model of calcium movements during activation in the sarcomere of frog skeletal muscle. Biophysical Journal 1984, 45:913-925.
14. Chandler W.K., Hollingworth S., Baylor S.M. Simulation of calcium sparks in cut skeletal muscle fibers of the frog. The Journal of General Physiology 2003, 121:311-324.
15. Cohen L.B., Salzberg B.M. Optical measurement of membrane potential. Reviews of Physiology, Biochemistry and Pharmacology 1978, 83:35-88.
16. Coërs C., Woolf A.L. The Innervation of Muscle, a Biopsy Study 1959, Blackwell's Scientific Publications, Oxford.
17. Cunningham J.N., Carter N.W., Rector F.C., Seldin D.W. Resting transmembrane potential difference of skeletal muscle in normal subjects and severely ill patients. The Journal of Clinical Investigation 1971, (1):49-59.
18. Dahmane R., Djordjevic S., Simunic B., Valencic V. Spatial fiber type distribution in normal human muscle: histochemical and tensiomyographical evaluation. Journal of Biomechanics 2005, (38):2451-2459.
19. Deshpande S., Gormley M.E., Carey J.R. Muscle fiber orientation in muscles commonly injected with botulinum toxin: an anatomical pilot study. Neurotoxicity Research 2006, 9:115-120.
20. Dorgan S.J., O'Malley M.J. A nonlinear mathematical model of electrically stimulated skeletal muscle. IEEE Transactions on Rehabilitation Engineering 1997, 5:179-194.
21. Ehret A.E., Böl M., Itskov M. A continuum constitutive model for the active behaviour of skeletal muscle. Journal of the Mechanics and Physics of Solids 2011, 59:625-636.
22. Faes T.J.C., van der Meij H.A., de Munck J.C., Heethaar R.M. The electric resistivity of human tissues (100 Hz-10 MHz): a meta-analysis of review studies. Physiological Measurement 1999, 20:R1-R10.
23. Farnbach G.C., Barchi R.L. Determination of muscle cable parameters from a single membrane voltage response. Journal of Membrane Biology 1977, 32:133-149.
24. Gabriel C., Peyman A., Grant E.H. Electrical conductivity of tissue at frequencies below 1 MHz. Physics in Medicine and Biology 2009, 54:4863-4878.
25. Hatze H. A myocybernetic control model of skeletal muscle. Biological Cybernetics 1977, 25:103-119.
26. Hofer C., Forstner C., Mödlin M., Jäger H., Mayr W., Kern H. In vivo assessment of conduction velocity and refractory period of denervated muscle fibres. Artificial Organs 2005, 29:436-439.
27. Hollý M., Poledna J. Model of calcium diffusion, binding and membrane transport in the sarcomere of frog skeletal muscle. General Physiology and Biophysics 1989, 8:539-553.
28. Huxley H.E., Hanson J. Changes in the cross-striations of muscle during contractions and stretch and their structural interpretation. Nature 1954, 173:973-976.
29. Huxley A.F., Niedergerke R. Structural changes in muscle during contraction: interference microscopy of living muscle fibres. Nature 1954, 173:971-973.
30. Itskov M., Aksel N. A class of orthotropic and transversely isotropic hyperelastic constitutive models based on a polyconvex strain energy function. International Journal of Solids and Structures 2004, 41:3833-3848.
31. Klitgaard H., Zhou M., Richter E.A. Myosin heavy chain composition of single fibres from m. biceps brachii of male body builders. Acta Physiologica Scandinavica 1990, 140:175-180.
32. Melzer W., Rios E., Schneider M.F. Time course of calcium release and removal in skeletal muscle fibers. Biophysical Journal 1984, 45:637-641.
33. Monemi M., Eriksson P.O., Eriksson A., Thornell L.E. Adverse changes in fibre type composition of the human masseter versus biceps brachii muscle during aging. Journal of the Neurological Sciences 1998, 154:35-48.
34. Mooney M. A theory of large elastic deformation. Journal of Applied Physics 1940, 11:582-592.
35. Nishizono H., Saito Y., Miyashita M. The estimation of conduction velocity in human skeletal muscle in situ with surface electrodes. Electroencephalography and Clinical Neurophysiology 1979, 46:659-664.
36. Novo D., DiFranco M., Vergara J.L. Comparison between the predictions of diffusion-reaction models and localized Ca2+ transients in amphibian skeletal muscle fiber. Biophysical Journal 2003, 85:1080-1097.
37. Razumova M.V., Bukatina A.E., Campbell K.B. Different myofilament nearest-neighbor interactions have distinctive effects on contractile behavior. Biophysical Journal 2000, 78:3120-3137.
38. Röhrle O., Davidson J.B., Pullan A.J. Bridging scales: a three-dimensional electromechanical finite element model of skeletal muscle. SIAM Journal on Scientific Computing 2008, 30:2882-2904.
39. Riener R., Quintern J. A physiologically based model of muscle activation verified by electrical stimulation. Bioelectrochemistry and Bioenergetics 1997, 43:257-264.
40. Ríos E., Karhanek M., Ma J., González A. An allosteric model of the molecular interactions of excitation-contraction coupling in skeletal muscle. The Journal of General Physiology 1993, 102:449-481.
41. Rush S., Abildskov J.A., McFee R. Resistivity of body tissues at low frequencies. Circulation Research 1963, 12:40-50.
42. Rush A.M., Dib-Hajj S.D., Liu S., Cummins T.R., Black J.A., Waxman S.G. A single sodium channel mutation produces hyper- or hypoexcitability in different types of neurons. Proceedings of the National Academy of Sciences of the United States of America 2006, 103:8245-8250.
43. Sargon M.F., Tuncali D., Celik H.H. An unusual origin for the accessory head of biceps brachii muscle. Clinical Anatomy 1996, (9):160-162.
44. Schmidt R.F., Lang F., Heckmann M. Physiologie des Menschen: Mit Pathophysiologie 2007, Springer.
45. Schmidt R.F., Schaible H.G. Neuro-und Sinnesphysiologie 2006, Springer.
46. Shorten P., O'Callaghan P., Davidson J., Soboleva T. A mathematical model of fatigue in skeletal muscle force contraction. Journal of Muscle Research and Cell Motility 2007, 28:293-313.
47. Stefani E., Steinbach A.B. Resting potential and electrical properties of frog slow muscle fibres. Effect of different external solutions. The Journal of Physiology 1969, 203:383-401.
48. Wallinga-de Jonge W., Boom H., Heijink R., van der Vliet G. Calcium model for mammalian skeletal muscle. Medical and Biological Engineering and Computing 1981, 19:734-748.
49. Wallinga W., Meijer S.L., Alberink M.J., Vliek M., Wienk E.D., Ypey D.L. Modelling action potentials and membrane currents of mammalian skeletal muscle fibres in coherence with potassium concentration changes in the t-tubular system. European Biophysics Journal 1999, 28:317-329.
50. Wollcox T.M., Teotia S.S., Smith A.A., Rawlings J.M. The biceps brachii muscle flap for axillary wound coverage. Plastic and Reconstructive Surgery 2002, 110:822-826.
51. Wood S.J., Slater S.R. Action potential generation in rat slow-and fast-twitch muscles. The Journal of Physiology 1995, 486:401-410.